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Finding the Third Proportional to 12,583 and 27,350

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Solution

The third proportional to 12,583 and 27,350 is: 59,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583 : 27,350 = 27,350 : x
  2. Step 2: Convert to fraction form
    12,583/27,350 = 27,350/x
  3. Step 3: Cross multiply
    12,583x = 27,350 × 27,350
  4. Step 4: Simplify right side
    12,583x = 748,022,500
  5. Step 5: Solve for x
    x = 748,022,500/12,583
  6. Step 6: Final answer
    x = 59,447.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.